Level Set Methods for Optimization Problems Involving Geometry and Constraints I. Frequencies of a T

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Electrical impedance tomography using level set representation and total variational regularization (2005, unknown): “The pioneering work of Osher and Santosa [29] uses the level set method for an inverse problem associated with shape optimization for the eigenvalues of the Laplace equation.”
Geometric constraints for shape and topology optimization in architectural design (2017, methodology): “This minimization uses a numerical representation of shapes via the level set method [7, 8, 49, 57, 64]; the clear description of shapes allowed by this technique is pivotal in accounting for their geometric attributes (normal vector, principal curvatures, etc.”
A level set method for structural shape and topology optimization using radial basis functions (2009, background): “However, these PDEs are seldom easy to implement [22] because the mathematically meaningful solutions can only be obtained under some strict conditions [16,17,23].”